Edge Length of Great Stellated Dodecahedron given Surface to Volume Ratio Calculator

✖SA:V of Great Stellated Dodecahedron is the numerical ratio of the total surface area of a Great Stellated Dodecahedron to the volume of the Great Stellated Dodecahedron.ⓘ SA:V of Great Stellated Dodecahedron [AV]

+10%

-10%

✖Edge Length of Great Stellated Dodecahedron is the distance between any pair of adjacent peak vertices of the Great Stellated Dodecahedron.ⓘ Edge Length of Great Stellated Dodecahedron given Surface to Volume Ratio [l_e]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Edge Length of Great Stellated Dodecahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Great Stellated Dodecahedron = (15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*SA:V of Great Stellated Dodecahedron)
l_e = (15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*AV)
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Edge Length of Great Stellated Dodecahedron - (Measured in Meter) - Edge Length of Great Stellated Dodecahedron is the distance between any pair of adjacent peak vertices of the Great Stellated Dodecahedron.
SA:V of Great Stellated Dodecahedron - (Measured in 1 per Meter) - SA:V of Great Stellated Dodecahedron is the numerical ratio of the total surface area of a Great Stellated Dodecahedron to the volume of the Great Stellated Dodecahedron.

STEP 1: Convert Input(s) to Base Unit

SA:V of Great Stellated Dodecahedron: 0.7 1 per Meter --> 0.7 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = (15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*AV) --> (15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*0.7)

Evaluating ... ...

l_e = 10.0763186107281

STEP 3: Convert Result to Output's Unit

10.0763186107281 Meter --> No Conversion Required

FINAL ANSWER

10.0763186107281 ≈ 10.07632 Meter <-- Edge Length of Great Stellated Dodecahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Great Stellated Dodecahedron » Length of Great Stellated Dodecahedron » Edge Length of Great Stellated Dodecahedron » Edge Length of Great Stellated Dodecahedron given Surface to Volume Ratio

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< Edge Length of Great Stellated Dodecahedron Calculators

Edge Length of Great Stellated Dodecahedron given Pyramidal Height

LaTeX Go Edge Length of Great Stellated Dodecahedron = (6*Pyramidal Height of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))

Edge Length of Great Stellated Dodecahedron given Circumradius

LaTeX Go Edge Length of Great Stellated Dodecahedron = (4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))

Edge Length of Great Stellated Dodecahedron given Ridge Length

LaTeX Go Edge Length of Great Stellated Dodecahedron = (2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5))

Edge Length of Great Stellated Dodecahedron given Pentagram Chord

LaTeX Go Edge Length of Great Stellated Dodecahedron = Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5))

Edge Length of Great Stellated Dodecahedron given Surface to Volume Ratio Formula

LaTeX Go

Edge Length of Great Stellated Dodecahedron = (15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*SA:V of Great Stellated Dodecahedron)
l_e = (15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*AV)

What is Great Stellated Dodecahedron?

The Great Stellated Dodecahedron is a Kepler-Poinsot polyhedron, with Schläfli symbol {⁵⁄₂,3}. It is one of four nonconvex regular polyhedra. It is composed of 12 intersecting pentagrammic faces, with three pentagrams meeting at each vertex.

How to Calculate Edge Length of Great Stellated Dodecahedron given Surface to Volume Ratio?

Edge Length of Great Stellated Dodecahedron given Surface to Volume Ratio calculator uses Edge Length of Great Stellated Dodecahedron = (15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*SA:V of Great Stellated Dodecahedron) to calculate the Edge Length of Great Stellated Dodecahedron, Edge Length of Great Stellated Dodecahedron given Surface to Volume Ratio formula is defined as the distance between any pair of adjacent peak vertices of the Great Stellated Dodecahedron, calculated using its surface to volume ratio. Edge Length of Great Stellated Dodecahedron is denoted by l_e symbol.

How to calculate Edge Length of Great Stellated Dodecahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Edge Length of Great Stellated Dodecahedron given Surface to Volume Ratio, enter SA:V of Great Stellated Dodecahedron (AV) and hit the calculate button. Here is how the Edge Length of Great Stellated Dodecahedron given Surface to Volume Ratio calculation can be explained with given input values -> 10.07632 = (15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*0.7).

FAQ

What is Edge Length of Great Stellated Dodecahedron given Surface to Volume Ratio?

Edge Length of Great Stellated Dodecahedron given Surface to Volume Ratio formula is defined as the distance between any pair of adjacent peak vertices of the Great Stellated Dodecahedron, calculated using its surface to volume ratio and is represented as l_e = (15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*AV) or Edge Length of Great Stellated Dodecahedron = (15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*SA:V of Great Stellated Dodecahedron). SA:V of Great Stellated Dodecahedron is the numerical ratio of the total surface area of a Great Stellated Dodecahedron to the volume of the Great Stellated Dodecahedron.

How to calculate Edge Length of Great Stellated Dodecahedron given Surface to Volume Ratio?

Edge Length of Great Stellated Dodecahedron given Surface to Volume Ratio formula is defined as the distance between any pair of adjacent peak vertices of the Great Stellated Dodecahedron, calculated using its surface to volume ratio is calculated using Edge Length of Great Stellated Dodecahedron = (15*sqrt(5+(2*sqrt(5))))/(5/4*(3+sqrt(5))*SA:V of Great Stellated Dodecahedron). To calculate Edge Length of Great Stellated Dodecahedron given Surface to Volume Ratio, you need SA:V of Great Stellated Dodecahedron (AV). With our tool, you need to enter the respective value for SA:V of Great Stellated Dodecahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Edge Length of Great Stellated Dodecahedron?

In this formula, Edge Length of Great Stellated Dodecahedron uses SA:V of Great Stellated Dodecahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Edge Length of Great Stellated Dodecahedron = (2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5))
Edge Length of Great Stellated Dodecahedron = Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5))
Edge Length of Great Stellated Dodecahedron = (4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))

Home

FREE PDFs

🔍 Search